Given numbers are 987,737,990,209,840

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 987,737,990,209,840 is 1658515320.

Find LCM of 987,737,990,209,840 with Prime Factorization

Multiply the prime numbers at the bottom and the left side.

2 x 3 x 5 x 7 x 11 x 47 x 67 x 3 x 19 x 4 = 1658515320

Therefore, the lowest common multiple of 987,737,990,209,840 is 1658515320.

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

987 x 737 x 990 x 209 x 840 = 126428622843600

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

987 : 1, 3, 7, 21, 47, 141, 329, 987

737 : 1, 11, 67, 737

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

209 : 1, 11, 19, 209

840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 987,737,990,209,840, is 1.

Now, the common factors can be found like this.

987:3x 7x 47

737:11x 67

990:2x 3x 3x 5x 11

209:11x 19

840:2x 2x 2x 3x 5x 7

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3x 3x 5x 7x 11x 11 = 76230

Therefore, the value for common factors is 76230.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 126428622843600/(1x76230)

LCM = 126428622843600/76230

LCM = 1658515320

Thus, we can understand that the LCM of 987,737,990,209,840 is 1658515320.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 759, 960, 314, 693, 893
• LCM of 442, 527, 227, 754, 338
• LCM of 127, 195, 230, 396, 337
• LCM of 247, 175, 577, 650, 260
• LCM of 125, 604, 759, 700, 886

1. What is the LCM of 987, 737, 990, 209, 840?

Answer: LCM of 987, 737, 990, 209, 840 is 1658515320.

2. How to calculate the LCM of 987, 737, 990, 209, 840?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 987, 737, 990, 209, 840.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.